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    1: *> \brief \b ZLARTV applies a vector of plane rotations with real cosines and complex sines to the elements of a pair of vectors.
    2: *
    3: *  =========== DOCUMENTATION ===========
    4: *
    5: * Online html documentation available at
    6: *            http://www.netlib.org/lapack/explore-html/
    7: *
    8: *> \htmlonly
    9: *> Download ZLARTV + dependencies
   10: *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zlartv.f">
   11: *> [TGZ]</a>
   12: *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zlartv.f">
   13: *> [ZIP]</a>
   14: *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zlartv.f">
   15: *> [TXT]</a>
   16: *> \endhtmlonly
   17: *
   18: *  Definition:
   19: *  ===========
   20: *
   21: *       SUBROUTINE ZLARTV( N, X, INCX, Y, INCY, C, S, INCC )
   22: *
   23: *       .. Scalar Arguments ..
   24: *       INTEGER            INCC, INCX, INCY, N
   25: *       ..
   26: *       .. Array Arguments ..
   27: *       DOUBLE PRECISION   C( * )
   28: *       COMPLEX*16         S( * ), X( * ), Y( * )
   29: *       ..
   30: *
   31: *
   32: *> \par Purpose:
   33: *  =============
   34: *>
   35: *> \verbatim
   36: *>
   37: *> ZLARTV applies a vector of complex plane rotations with real cosines
   38: *> to elements of the complex vectors x and y. For i = 1,2,...,n
   39: *>
   40: *>    ( x(i) ) := (        c(i)   s(i) ) ( x(i) )
   41: *>    ( y(i) )    ( -conjg(s(i))  c(i) ) ( y(i) )
   42: *> \endverbatim
   43: *
   44: *  Arguments:
   45: *  ==========
   46: *
   47: *> \param[in] N
   48: *> \verbatim
   49: *>          N is INTEGER
   50: *>          The number of plane rotations to be applied.
   51: *> \endverbatim
   52: *>
   53: *> \param[in,out] X
   54: *> \verbatim
   55: *>          X is COMPLEX*16 array, dimension (1+(N-1)*INCX)
   56: *>          The vector x.
   57: *> \endverbatim
   58: *>
   59: *> \param[in] INCX
   60: *> \verbatim
   61: *>          INCX is INTEGER
   62: *>          The increment between elements of X. INCX > 0.
   63: *> \endverbatim
   64: *>
   65: *> \param[in,out] Y
   66: *> \verbatim
   67: *>          Y is COMPLEX*16 array, dimension (1+(N-1)*INCY)
   68: *>          The vector y.
   69: *> \endverbatim
   70: *>
   71: *> \param[in] INCY
   72: *> \verbatim
   73: *>          INCY is INTEGER
   74: *>          The increment between elements of Y. INCY > 0.
   75: *> \endverbatim
   76: *>
   77: *> \param[in] C
   78: *> \verbatim
   79: *>          C is DOUBLE PRECISION array, dimension (1+(N-1)*INCC)
   80: *>          The cosines of the plane rotations.
   81: *> \endverbatim
   82: *>
   83: *> \param[in] S
   84: *> \verbatim
   85: *>          S is COMPLEX*16 array, dimension (1+(N-1)*INCC)
   86: *>          The sines of the plane rotations.
   87: *> \endverbatim
   88: *>
   89: *> \param[in] INCC
   90: *> \verbatim
   91: *>          INCC is INTEGER
   92: *>          The increment between elements of C and S. INCC > 0.
   93: *> \endverbatim
   94: *
   95: *  Authors:
   96: *  ========
   97: *
   98: *> \author Univ. of Tennessee
   99: *> \author Univ. of California Berkeley
  100: *> \author Univ. of Colorado Denver
  101: *> \author NAG Ltd.
  102: *
  103: *> \ingroup complex16OTHERauxiliary
  104: *
  105: *  =====================================================================
  106:       SUBROUTINE ZLARTV( N, X, INCX, Y, INCY, C, S, INCC )
  107: *
  108: *  -- LAPACK auxiliary routine --
  109: *  -- LAPACK is a software package provided by Univ. of Tennessee,    --
  110: *  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
  111: *
  112: *     .. Scalar Arguments ..
  113:       INTEGER            INCC, INCX, INCY, N
  114: *     ..
  115: *     .. Array Arguments ..
  116:       DOUBLE PRECISION   C( * )
  117:       COMPLEX*16         S( * ), X( * ), Y( * )
  118: *     ..
  119: *
  120: *  =====================================================================
  121: *
  122: *     .. Local Scalars ..
  123:       INTEGER            I, IC, IX, IY
  124:       COMPLEX*16         XI, YI
  125: *     ..
  126: *     .. Intrinsic Functions ..
  127:       INTRINSIC          DCONJG
  128: *     ..
  129: *     .. Executable Statements ..
  130: *
  131:       IX = 1
  132:       IY = 1
  133:       IC = 1
  134:       DO 10 I = 1, N
  135:          XI = X( IX )
  136:          YI = Y( IY )
  137:          X( IX ) = C( IC )*XI + S( IC )*YI
  138:          Y( IY ) = C( IC )*YI - DCONJG( S( IC ) )*XI
  139:          IX = IX + INCX
  140:          IY = IY + INCY
  141:          IC = IC + INCC
  142:    10 CONTINUE
  143:       RETURN
  144: *
  145: *     End of ZLARTV
  146: *
  147:       END